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Finding the Fourth Proportional to 32,447.64, 48,679.56 and 9,073.89

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Solution

The fourth proportional to 32,447.64, 48,679.56 and 9,073.89 is: 13,613.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,447.64 : 48,679.56 = 9,073.89 : x
  2. Step 2: Convert to fraction form
    32,447.64/48,679.56 = 9,073.89/x
  3. Step 3: Cross multiply
    32,447.64x = 48,679.56 × 9,073.89
  4. Step 4: Simplify right side
    32,447.64x = 441,712,972.69
  5. Step 5: Solve for x
    x = 441,712,972.69/32,447.64
  6. Step 6: Final answer
    x = 13,613.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.